Question:
Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.
If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?
Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.
If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?
Show Hint
Always check each constraint for all possibilities and eliminate the ones that violate the given conditions.
Updated On: Aug 4, 2025
- Amar wears blue and Akbar wears green
- Amar wears green and Akbar wears red
- Amar wears blue and Akbar does not wear blue
- Anthony wears red
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
We are given the following conditions:
- Amar does not wear a red shirt.
- Akbar does not wear a green shirt.
- Anthony does not wear a blue shirt.
Let’s analyze each option:
- Option (A) Amar wears blue and Akbar wears green: Since Akbar cannot wear a green shirt, this is false.
- Option (B) Amar wears green and Akbar wears red: This is possible since both Amar and Akbar can wear green and red respectively.
- Option (C) Amar wears blue and Akbar does not wear blue: This is possible since Akbar can wear red and Amar wears blue.
- Option (D) Anthony wears red: This is possible since Amar does not wear red, so Anthony can wear red.
Thus, the correct answer is (A).
Was this answer helpful?
0
0
Top Questions on Algebra
- All the values of \(k\) such that the quadratic expression \(2kx^2 - (4k+1)x + 2\) is negative for exactly three integral values of \(x\), lie in the interval:
- If \(\alpha, \beta, \gamma\) are the roots of the equation \[ x^3 - 13x^2 + kx + 189 = 0 \] such that \(\beta - \gamma = 2\), then find the ratio \(\beta + \gamma : k + \alpha\).
The relationship between two variables \( x \) and \( y \) is given by \( x + py + q = 0 \) and is shown in the figure. Find the values of \( p \) and \( q \). Note: The figure shown is representative.
- If \(x^2 + y^2 = 25\) and \(xy = 12\), then what is the value of \(x^4 + y^4\)?
- In \( \triangle ABC \), if \( \sin^2 B = \sin A \) and \( 2\cos^2 A = 3\cos^2 B \), then the triangle is:
View More Questions
Questions Asked in CAT exam
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
- Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
- CAT - 2024
- Time, Speed and Distance
- The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
- CAT - 2024
- Profit and Loss
- Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?
- CAT - 2024
- Arithmetic Progression
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Mensuration
View More Questions